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Finding the Fourth Proportional to 46,942, 64,779.96 and 25,721.32

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Solution

The fourth proportional to 46,942, 64,779.96 and 25,721.32 is: 35,495.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,942 : 64,779.96 = 25,721.32 : x
  2. Step 2: Convert to fraction form
    46,942/64,779.96 = 25,721.32/x
  3. Step 3: Cross multiply
    46,942x = 64,779.96 × 25,721.32
  4. Step 4: Simplify right side
    46,942x = 1,666,226,080.75
  5. Step 5: Solve for x
    x = 1,666,226,080.75/46,942
  6. Step 6: Final answer
    x = 35,495.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.